Finding the Third Proportional to 141,561 and 314,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   141,561 : 314,590.50 = 314,590.50 : x
2. Step 2: Convert to fraction form
   141,561/314,590.50 = 314,590.50/x
3. Step 3: Cross multiply
   141,561x = 314,590.50 × 314,590.50
4. Step 4: Simplify right side
   141,561x = 98,967,182,690.25
5. Step 5: Solve for x
   x = 98,967,182,690.25/141,561
6. Step 6: Final answer
   x = 699,113.33